Simple derivations in two variables

Anand Parkash, Pankaj Shukla

Let $k$ be a field of characteristic zero. If $c_1,c_2\in k\setminus \{0\},s,t\ge 1$ and $u\ge 0$, then it is shown that the $k$-derivations $\partial_x + x^u(c_1x^ty^s+c_2)…